| Exam Board | OCR |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2010 |
| Session | June |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Moments |
| Type | Rod hinged to wall with string support |
| Difficulty | Moderate -0.3 This is a standard statics problem requiring resolution of forces and taking moments about a point. Part (i) involves a straightforward moment equation about point A (one step), while part (ii) requires resolving horizontally and vertically to find components of the reaction force, then using Pythagoras and trigonometry. The setup is clear, the methods are routine for M2, and no novel insight is required—slightly easier than average due to its textbook nature, but the 10 marks reflect reasonable working rather than conceptual difficulty. |
| Spec | 3.03m Equilibrium: sum of resolved forces = 03.03n Equilibrium in 2D: particle under forces3.04a Calculate moments: about a point3.04b Equilibrium: zero resultant moment and force |
A non-uniform beam $AB$ of length 4 m and mass 5 kg has its centre of mass at the point $G$ of the beam where $AG = 2.5$ m. The beam is freely suspended from its end $A$ and is held in a horizontal position by means of a wire attached to the end $B$. The wire makes an angle of $20°$ with the vertical and the tension is $T$ N (see diagram).
\begin{enumerate}[label=(\roman*)]
\item Calculate $T$. [3]
\item Calculate the magnitude and the direction of the force acting on the beam at $A$. [7]
\end{enumerate}
\hfill \mbox{\textit{OCR M2 2010 Q4 [10]}}